38426640 has 160 divisors (see below), whose sum is σ = 138205440. Its totient is φ = 8650752.

The previous prime is 38426621. The next prime is 38426651. The reversal of 38426640 is 4662483.

38426640 = T₃₂₈ + T₃₂₉ + ... + T₆₄₂.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149392 + ... + 149648.

It is an arithmetic number, because the mean of its divisors is an integer number (863784).

Almost surely, 2^38426640 is an apocalyptic number.

38426640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102720).

38426640 is an abundant number, since it is smaller than the sum of its proper divisors (99778800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38426640 is a wasteful number, since it uses less digits than its factorization.

38426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38426640 is about 6198.9224870134. The cubic root of 38426640 is about 337.4510656076.

The spelling of 38426640 in words is "thirty-eight million, four hundred twenty-six thousand, six hundred forty".